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Finding the Fourth Proportional to 289,081.20, 433,621.80 and 78,718.80

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Solution

The fourth proportional to 289,081.20, 433,621.80 and 78,718.80 is: 118,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,081.20 : 433,621.80 = 78,718.80 : x
  2. Step 2: Convert to fraction form
    289,081.20/433,621.80 = 78,718.80/x
  3. Step 3: Cross multiply
    289,081.20x = 433,621.80 × 78,718.80
  4. Step 4: Simplify right side
    289,081.20x = 34,134,187,749.84
  5. Step 5: Solve for x
    x = 34,134,187,749.84/289,081.20
  6. Step 6: Final answer
    x = 118,078.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.